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Finding the Fourth Proportional to 586.37, 807.67 and 428.63

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Solution

The fourth proportional to 586.37, 807.67 and 428.63 is: 590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.37 : 807.67 = 428.63 : x
  2. Step 2: Convert to fraction form
    586.37/807.67 = 428.63/x
  3. Step 3: Cross multiply
    586.37x = 807.67 × 428.63
  4. Step 4: Simplify right side
    586.37x = 346,188.09
  5. Step 5: Solve for x
    x = 346,188.09/586.37
  6. Step 6: Final answer
    x = 590.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.